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math.AG2024
Critical Cohomological Hall Algebra and Edge Contraction
Yiqiang Li, Jie Ren
We study the behaviors of cohomological Hall algebras and relevant subjects under an edge contraction. Given a quiver with potential and fix an arrow, the edge contraction is a way…
math.AG2024
Calabi-Yau categories and graded quivers with potential
Jie Ren
We prove that the equivalence classes of d-dimensional Calabi-Yau -categories (dCY category for short) of certain type are in one-to-one correspondence with the gauge equ…
math.AG2016★ 3 cited
Correspondence between 2 Calabi-Yau Categories and Quivers
Jie Ren
This note gives a one-to-one correspondence between the equivalence classes of a certain type of 2-dimensional Calabi-Yau categories, and certain type of quivers, This is an analog…